Is Quantum Gravity a Super-Quantum Theory?

Abstract

We argue that quantum gravity should be a super-quantum theory, that is, a theory whose non-local correlations are stronger than those of canonical quantum theory. As a super-quantum theory, quantum gravity should display distinct experimentally observable super-correlations of entangled stringy states.

Quantum Systems Based Upon Galois Fields — From Sub-Quantum to Super-Quantum Correlations

“…11,14,15 This would have profound implications on the conceptual foundations of quantum gravity as well as on its phenomenology. [11][12][13][14][15] Dynamical energy-momentum space taken together with dynamical spacetime would demand a dynamical phase space and thus, quite naturally, dynamical Hilbert spaces and dynamical probabilities, as also expected on other grounds. 40 That is, quantum probabilities themselves should change dynamically with the dynamics of the phase space, implying indeterminate probabilities in quantum gravity theories.…”

“…Section 5 discusses what remains un-mutated in our models, while section 6 summarizes the lessons learned from our toy models and points out an avenue for future work. In the final section, we conclude by outlining the relevance of post-quantum theory for the foundations of quantum gravity, 11,12 and, in particular, string theory. [13][14][15] 2.…”

Final Report for Studies in Elementary Particle Physics

“…I am continuing my work on the fundamental problems of quantum gravity, dark energy and dark matter as well as on the foundations of quantum gravity and its experimental manifestations. With Chang, Lewis, Takeuchi and Tze (all from VT) [11] (also [3,4]) I have examined the fundamental and previously unnoticed role of quantum supercorrelations in string theory. This work is important for the foundations of quantum theory (the super-violation of the famous Bell inequalities) as well for the central questions in quantum gravity.…”

“…Finally, let me mention two papers and an ongoing AdS/CFT related project on the physics of the Riemann zeros [32], conducted in collaboration with Yang-Hui He (Oxford/London) and Jejjala (an off-spring of our interest in analytic QCD and many-body physics), and a paper in preparation on the subject of emergent "quantum" theory in the context of biophysical systems, with Vijay Balasubramanian (Penn) and Sinisa Pajevic (NIH). [33][34][35][36][37][38][39][40], 3 are currently undergoing review [41][42][43], and 3 have appeared in conference proceedings [44][45][46]. In addition, 6 more papers are in the final stages of completion in which DOE support will be acknowledged [47][48][49][50][51][52].…”

“…In Refs. [34,43], we argued that 'doubly' quantizing a theory may saturate the 4 bound and conjectured that Witten's open string field theory may be precisely such a theory.…”